DLMF:27.9.E3 (Q8057)

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DLMF:27.9.E3
No description defined

    Statements

    Defining formula
    ( p | q ) ⁢ ( q | p ) = ( - 1 ) ( p - 1 ) ⁢ ( q - 1 ) / 4 . Legendre-symbol 𝑝 𝑞 Legendre-symbol 𝑞 𝑝 superscript 1 𝑝 1 𝑞 1 4 {\displaystyle{\displaystyle(p|q)(q|p)=(-1)^{(p-1)(q-1)/4}.}}
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    DLMF id
    DLMF:27.9.E3
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    constraint
    p , q 𝑝 𝑞 {\displaystyle{\displaystyle p,q}}
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    Symbols used
    Q12254
    Defining formula
    ( n | p ) Legendre-symbol 𝑛 𝑝 {\displaystyle{\displaystyle(\NVar{n}|\NVar{p})}}
    xml-id
    C27.S9.m1abdec
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    Q12255
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C27.S9.XMD1.m1bdec
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    Q12256
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C27.S9.XMD2.m1dec
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